Information on Result #3144884
There is no digital (51, 158, 164)-net over F3, because 2 times m-reduction would yield digital (51, 156, 164)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3156, 164, F3, 105) (dual of [164, 8, 106]-code), but
- residual code [i] would yield OA(351, 58, S3, 35), but
- the linear programming bound shows that M ≥ 2151 540269 112482 208544 436253 / 946 > 351 [i]
- residual code [i] would yield OA(351, 58, S3, 35), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.